The file examples/Ex5 from the SLFQ installation
contains a formula that was sent to me by Andreas Weber. It was the
output of a session with the
Redlog system. The
formula is quite large but, as we'll see, it actually defines a very
simple set. The following is a session with SLFQ:

The -a option has been used to add the assumptions that
beta4 and nu are both positive. Thus, the
equivalent formula is really:

beta4 > 0 /\ nu > 0 /\ 60850 nu - 511000 beta4 + 1217 < 0

In the original formula as I recieved it, the contents of
examples/Ex5 were actually conjoined with
beta4 > 0 /\ nu > 0. The user, not the system,
must recognize that such constraints are actually fundamental to the problem
and should be made explicit assumptions. Without this assumption,
SLFQ spends a lot of time trying to find a simple way of expressing
sets in the plane that are outside of beta4 > 0 /\ nu > 0,
which is wasted effort.

The -q option asks the program to run in a "quiet" mode,
where intermediate information is not printed out.